The invention relates to a damping means for damping acoustic vibrations on rails. This damping means is, in particular, a body made of plastics and ferrous materials. The damping means is characterized by a chamber filling body, which consists of a thermoplastic and of metal constituents finely dispersed therein and is produced by extrusion or injection molding, whereby the density of the body is >2.4 g/cm.sup.3.